SOLUTION: A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the cost of one bat and two balls?

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Question 1200023: A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the cost of one bat and two balls?


Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A bat and ball together cost $31.00. The bat costs $15 more than the ball. What is the cost of one bat and two balls?
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Bat + Ball = 31
Bat = Ball + 15
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Ball+15 + Ball = 31
2*Ball = 16
The ball costs $8
etc
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.

Write equations as you read the problem

    bat + ball = 31    (1)

    bat - ball = 15    (2)


Add the equations

    2*bat     = 31 + 15 = 46  ===>  bat = 46/2 = 23.


Then  from (1),  ball  = 31 - bat = 31 - 23 = 8.


Thus one bat costs $23;  one ball costs $8.


The rest is on you, since it is easy.

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It can be solved in different ways, too;

but the way I showed in this post is the most educative (in my personal opinion).



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